130443768900 has 135 divisors (see below), whose sum is σ = 422952561031. Its totient is φ = 34776336960.

The previous prime is 130443768893. The next prime is 130443768929. The reversal of 130443768900 is 9867344031.

The square root of 130443768900 is 361170.

It is a perfect power (a square), and thus also a powerful number.

130443768900 is a `hidden beast` number, since 130 + 4 + 437 + 6 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6787452996 + 123656315904 = 82386^2 + 351648^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32503294 + ... + 32507306.

Almost surely, 2^130443768900 is an apocalyptic number.

130443768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130443768900 is the 361170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130443768900

130443768900 is an abundant number, since it is smaller than the sum of its proper divisors (292508792131).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130443768900 is an frugal number, since it uses more digits than its factorization.

130443768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 130443768900 in words is "one hundred thirty billion, four hundred forty-three million, seven hundred sixty-eight thousand, nine hundred".